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1.Moon is experiencing a gravitational force due to earth and is revolving around the earth in a circular orbit .How much work is done by the moon.



The basic question one would ask is "How much work is done by earth on moon?" but yours says "How much work is done by moon on earth?"
Shifting the frame of reference on to moon it would appear that earth is revolving around moon but the gravitational pull is the same.
Since it is centripetal force acting on earth, work done by moon is "zero".
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Displacement in the direction of force is '0'. hence work done by moon is 'zero'
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